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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.apbt.01

 Input Form

 HypergeometricPFQ[{1, 1, 3/2}, {5/2, 5/2}, z] == -((9 I (Pi^2 + 8 I Sqrt[z]))/(4 z^(3/2))) - (9 Sqrt[1 - z] ArcSin[Sqrt[z]])/ z^(3/2) + (9 Sqrt[1 - z] (-4 + 5 z + z^2) Log[1 - E^(I ArcSin[Sqrt[z]])])/ (4 (-1 + z)^2 z) - (9 Sqrt[1 - z] (-4 + 5 z + z^2) Log[(1 - E^(I ArcSin[Sqrt[z]]))/(1 + E^(I ArcSin[Sqrt[z]]))])/ (4 (-1 + z)^2 z) - (9 ArcSin[Sqrt[z]] Log[(1 - E^(I ArcSin[Sqrt[z]]))/(1 + E^(I ArcSin[Sqrt[z]]))])/z^(3/2) - (9 Sqrt[1 - z] (-4 + 5 z + z^2) Log[1 + E^(I ArcSin[Sqrt[z]])])/ (4 (-1 + z)^2 z) - (9 I PolyLog[2, -E^(I ArcSin[Sqrt[z]])])/z^(3/2) + (9 I PolyLog[2, E^(I ArcSin[Sqrt[z]])])/z^(3/2)

 Standard Form

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 MathML Form

 3 F 2 ( 1 , 1 , 3 2 ; 5 2 , 5 2 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox["1", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["1", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["3", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[FractionBox["5", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["5", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - 9 ( 8 z + π 2 ) 4 z 3 / 2 - 9 1 - z sin - 1 ( z ) z 3 / 2 + 9 1 - z ( z 2 + 5 z - 4 ) log ( 1 - sin - 1 ( z ) ) 4 ( z - 1 ) 2 z - 9 1 - z ( z 2 + 5 z - 4 ) log ( 1 - sin - 1 ( z ) 1 + sin - 1 ( z ) ) 4 ( z - 1 ) 2 z - 9 sin - 1 ( z ) log ( 1 - sin - 1 ( z ) 1 + sin - 1 ( z ) ) z 3 / 2 - 9 1 - z ( z 2 + 5 z - 4 ) log ( 1 + sin - 1 ( z ) ) 4 ( z - 1 ) 2 z - 9 Li PolyLog 2 ( - sin - 1 ( z ) ) z 3 / 2 + 9 Li PolyLog 2 ( sin - 1 ( z ) ) z 3 / 2 HypergeometricPFQ 1 1 3 2 5 2 5 2 z -1 9 8 z 1 2 2 4 z 3 2 -1 -1 9 1 -1 z 1 2 z 1 2 z 3 2 -1 9 1 -1 z 1 2 z 2 5 z -4 1 -1 z 1 2 4 z -1 2 z -1 -1 9 1 -1 z 1 2 z 2 5 z -4 1 -1 z 1 2 1 z 1 2 -1 4 z -1 2 z -1 -1 9 z 1 2 1 -1 z 1 2 1 z 1 2 -1 z 3 2 -1 -1 9 1 -1 z 1 2 z 2 5 z -4 1 z 1 2 4 z -1 2 z -1 -1 9 PolyLog 2 -1 z 1 2 z 3 2 -1 9 PolyLog 2 z 1 2 z 3 2 -1 [/itex]

 Rule Form

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 Date Added to functions.wolfram.com (modification date)

 2007-05-02